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Find (if possible) the general solution of each of the following 2nd-order ODEs by trying y = e x . If you can't find a

Find (if possible) the general solution of each of the following 2nd-order ODEs by trying

y = ex .

If you can't find a solution, give a reason.

(a) y'' + 7y' 8y = 0

(b) y'' + 2xy' + xy2 = 0

(c) y'' + 4y' + 4y = 0

In part (c), find the solution with initial conditions y(0) = 1, y' (0) = 0.

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